Question

# To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought...

To illustrate the effects of driving under the influence (DUI) of alcohol, a police officer brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Construct a 95% confidence interval for the mean difference in stopping time for impaired students versus normal students.

 Student: 1 2 3 4 5 6 7 8 9 Normal: 4.47 4.24 4.58 4.65 4.31 4.8 4.55 5 4.79 Impaired: 5.77 5.67 5.51 5.32 5.83 5.49 5.23 5.61 5.63

Conditions:
In Minitab Express, enter the given data in two separate columns, use DATA -> Formula to calculate the differences di as d = Impaired - Normal, and perform a normality test on the resulting differences.

a) The P-value from the Anderson-Darling test of normality is ____. (Do not round.)

b) The necessary conditions for constructing a confidence interval for μd ____(are / are not) satisfied.

c) The appropriate critical value for this confidence interval is tα/2 = _______. (Report critical values as they appear in the table.)

Confidence Interval:
d) We are 95% confident that impaired students take between______ (lower) and _______ (upper) seconds longer to come to a complete stop than normal. Report your answers rounded to 3 decimal places, where applicable.

a) The P-value from the Anderson-Darling test of normality is 0.063. (Do not round.)

b) The necessary conditions for constructing a confidence interval for μd ____(are) satisfied.

c) The appropriate critical value for this confidence interval is tα/2 = 2.306. (Report critical values as they appear in the table.)

Confidence Interval:
d) We are 95% confident that impaired students take between 0.688 (lower) and 1.238 (upper) seconds longer to come to a complete stop than normal. Report your answers rounded to 3 decimal places, where applicable.